Describing a sum with a while loop

조회 수: 1(최근 30일)
Jonathan Larsson
Jonathan Larsson 2019년 9월 30일
댓글: Steven Lord 2019년 9월 30일
Hello I was woundering how you do this formula for pi as variable s in a while loop.
For example;
n=a big number
while s<=pi


Bob Thompson
Bob Thompson 2019년 9월 30일
I'm pretty sure that adding a big number to 0 will bump you over pi on the first iteration, but maybe that's just me. I would do something more like the following:
s = 0;
tmp = 0;
k = 0;
while s<=pi
k = k + 1;
tmp = tmp + (-1/3)^k/(2*k+1);
s = sqrt(12)*tmp;
  댓글 수: 1
Steven Lord
Steven Lord 2019년 9월 30일
Of course, this approach assumes you know the answer you're trying to compute.
To approximate pi without actually knowing pi you probably want to loop until the step you're adding is "small enough" for some definition of "small enough".

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